78 citations · 178 across the 26 of their papers we have counts for
31 papers
A Sharp Kato-Rosenblum Type Theorem for Unbounded n-Tuples
Rishabh Bhutani, Dan Virgil Voiculescu
We prove a generalization for commuting -tuples of unbounded self-adjoint operators and the Lorentz ideal,, of the Kato-Rosenblum theorem. The result is derived…
Perturbations of operators and non-commutative condensers, an update on the quasicentral modulus
Dan-Virgil Voiculescu
This is an update on the quasicentral modulus, an invariant for an n-tuple of Hilbert space operators and a rearrangement invariant norm, that plays a key-role in sharp multivariab…
The condenser quasicentral modulus
Dan-Virgil Voiculescu
We introduced the quasicentral modulus to study normed ideal perturbations of operators. It is a limit of condenser quasicentral moduli in view of a recently noticed analogy with c…
Capacity and the quasicentral modulus
Dan-Virgil Voiculescu
We point out that the quasicentral modulus is a noncommutative analogue of a nonlinear rearrangement invariant Sobolev condenser capacity. In the case of the shifts by the generato…
Miscellaneous on Commutants mod Normed Ideals and Quasicentral Modulus I
Dan-Virgil Voiculescu
We define commutants mod normed ideals associated with compact smooth manifolds with boundary. The results about the K-theory of these operator algebras include an exact sequence f…
The Formula for the Quasicentral Modulus in the Case of Spectral Measures on Fractals
Dan-Virgil Voiculescu
We prove a general ampliation homogeneity result for the quasicentral modulus of an n-tuple of operators with respect to the (p,1) Lorentz normed ideal. We use this to prove a form…